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Forthcoming articles
  1. Wesley H. Holliday (forthcoming). Epistemic Closure and Epistemic Logic I: Relevant Alternatives and Subjunctivism. Journal of Philosophical Logic:1-62.
    Epistemic closure has been a central issue in epistemology over the last forty years. According to versions of the relevant alternatives and subjunctivist theories of knowledge, epistemic closure can fail: an agent who knows some propositions can fail to know a logical consequence of those propositions, even if the agent explicitly believes the consequence (having “competently deduced” it from the known propositions). In this sense, the claim that epistemic closure can fail must be distinguished from the fact that agents do (...)
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  2. Nils Kürbis (forthcoming). Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality. Journal of Philosophical Logic:1-15.
    This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...)
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  3. Franz Huber (forthcoming). What Should I Believe About What Would Have Been the Case? Journal of Philosophical Logic:1-30.
    The question I am addressing in this paper is the following: how is it possible to empirically test, or confirm, counterfactuals? After motivating this question in Section 1, I will look at two approaches to counterfactuals, and at how counterfactuals can be empirically tested, or confirmed, if at all, on these accounts in Section 2. I will then digress into the philosophy of probability in Section 3. The reason for this digression is that I want to use the way observable (...)
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  4. Marcus Rossberg (forthcoming). Somehow Things Do Not Relate: On the Interpretation of Polyadic Second-Order Logic. Journal of Philosophical Logic:1-10.
    Boolos has suggested a plural interpretation of second-order logic for two purposes: (i) to escape Quine’s allegation that second-order logic is set theory in disguise, and (ii) to avoid the paradoxes arising if the second-order variables are given a set-theoretic interpretation in second-order set theory. Since the plural interpretation accounts only for monadic second-order logic, Rayo and Yablo suggest an new interpretation for polyadic second-order logic in a Boolosian spirit. The present paper argues that Rayo and Yablo’s interpretation does not (...)
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  5. H. Andréka, J. van Benthem & I. Németi (forthcoming). Modal Logics and Bounded First-Order Fragments'. Journal of Philosophical Logic.
     
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  6. Staffan Angere (forthcoming). The Logical Structure of Truthmaking. Journal of Philosophical Logic:1-24.
    This paper is an investigation in the use of truthmaker theory for exploring the relation of logic to world, and as a tool for metaphysics. A variant of truthmaker theory, which we call the simple theory, is defined and defended against objections. It is characterized formally, and its central features are derived. As part of this project, we give a formal metaphysics based on nondeterministic necessitation relations among possible entities. In what is called the fundamental theorem of truthmaking, it is (...)
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  7. Franz Baader, Stefan Borgwardt & Rafael Peñaloza (forthcoming). On the Decidability Status of Fuzzy A ℒ C with General Concept Inclusions. Journal of Philosophical Logic:1-30.
    The combination of Fuzzy Logics and Description Logics (DLs) has been investigated for at least two decades because such fuzzy DLs can be used to formalize imprecise concepts. In particular, tableau algorithms for crisp Description Logics have been extended to reason also with their fuzzy counterparts. It has turned out, however, that in the presence of general concept inclusion axioms (GCIs) this extension is less straightforward than thought. In fact, a number of tableau algorithms claimed to deal correctly with fuzzy (...)
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  8. Mathieu Beirlaen, Christian Strasser & Joke Meheus (forthcoming). An Inconsistency-Adaptive Deontic Logic for Normative Conflicts. Journal of Philosophical Logic.
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  9. Proietti Carlo (forthcoming). Pluralistic Ignorance and Collective Belief: A DDL Approach. Journal of Philosophical Logic.
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  10. Pablo Cobreros, Paul Egré, Dave Ripley & Robert van Rooij (forthcoming). Pragmatic Interpretations of Vague Expressions: Strongest Meaning and Nonmonotonic Consequence. Journal of Philosophical Logic:1-19.
    Recent experiments have shown that naive speakers find borderline contradictions involving vague predicates acceptable. In Cobreros et al. (Journal of Philosophical Logic, 41, 347–385, 2012a) we proposed a pragmatic explanation of the acceptability of borderline contradictions, building on a three-valued semantics. In a reply, Alxatib et al. (Journal of Philosophical Logic, 42, 619–634, 2013) show, however, that the pragmatic account predicts the wrong interpretations for some examples involving disjunction, and propose as a remedy a semantic analysis instead, based on fuzzy (...)
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  11. James Delgrande & Jérôme Lang (forthcoming). Guest Editors' Introduction. Journal of Philosophical Logic:1-5.
    This special issue presents a selection of papers in Knowledge Representation (KR) in Artificial Intelligence (AI), intended to illustrate the depth and breadth of current research in the area. It comes just over 25 years since a similar special issue of the Journal of Philosophical Logic appeared on the topic Philosophical Logic and Artificial Intelligence [15]. This latter special issue covered work addressing the use of logic, in one form or another, for representing and reasoning with knowledge. The papers of (...)
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  12. Thomas Macaulay Ferguson (forthcoming). Logics of Nonsense and Parry Systems. Journal of Philosophical Logic:1-16.
    We examine the relationship between the logics of nonsense of Bochvar and Halldén and the containment logics in the neighborhood of William Parry’s A I. We detail two strategies for manufacturing containment logics from nonsense logics—taking either connexive and paraconsistent fragments of such systems—and show how systems determined by these techniques have appeared as Frederick Johnson’s R C and Carlos Oller’s A L. In particular, we prove that Johnson’s system is precisely the intersection of Bochvar’s B 3 and Graham Priest’s (...)
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  13. Geoff Georgi (forthcoming). Logic for Languages Containing Referentially Promiscuous Expressions. Journal of Philosophical Logic:1-23.
    Some expressions of English, like the demonstratives ‘this’ and ‘that’, are referentially promiscuous: distinct free occurrences of them in the same sentence can differ in content relative to the same context. One lesson of referentially promiscuous expressions is that basic logical properties like validity and logical truth obtain or fail to obtain only relative to a context. This approach to logic can be developed in just as rigorous a manner as David Kaplan’s classic logic of demonstratives. The result is a (...)
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  14. Jianmin Ji & Fangzhen Lin (forthcoming). Position Systems in Dynamic Domains. Journal of Philosophical Logic:1-15.
    A dynamic domain consists of a set of legal states and a transition function that maps states to states. AI formalisms for specifying dynamic domains have so far focused on describing the effects of actions, that is, the transition functions. In this paper we propose a notion of characteristic set of position systems for the purpose of describing legal states. A position system for a type of objects is a set of properties that are mutually exclusive, and that in each (...)
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  15. Franz V. Kutschera (forthcoming). Global Supervenience and Doxastic Logic', to Appear in The. Journal of Philosophical Logic.
     
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  16. Franz V. Kutschera (forthcoming). Causation', to Appear in The. Journal of Philosophical Logic.
     
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  17. Vladimir Lifschitz (forthcoming). The Dramatic True Story of the Frame Default. Journal of Philosophical Logic:1-14.
    This is an expository article about the solution to the frame problem proposed in 1980 by Raymond Reiter. For years, his “frame default” remained untested and suspect. But developments in some seemingly unrelated areas of computer science—logic programming and satisfiability solvers—eventually exonerated the frame default and turned it into a basis for important applications.
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  18. Gert-Jan C. Lokhorst (forthcoming). Mally's Deontic Logic: Reducibility and Semantics. Journal of Philosophical Logic:1-11.
    We discuss three aspects of the intuitionistic reformulation of Mally’s deontic logic that was recently proposed (Journal of Philosophical Logic 42, 635–641, (2013)). First, this reformulation is more similar to Standard Deontic Logic than appears at first sight: like Standard Deontic Logic, it is Kanger reducible and Anderson reducible to alethic logic and it has a semantical interpretation that can be read in deontic terms. Second, this reformulation has an extension that provides 100% of the theorems stated by Mally himself (...)
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  19. Jonathan Payne (forthcoming). Natural Deduction for Modal Logic with a Backtracking Operator. Journal of Philosophical Logic:1-22.
    Harold Hodes in [1] introduces an extension of first-order modal logic featuring a backtracking operator, and provides a possible worlds semantics, according to which the operator is a kind of device for ‘world travel’; he does not provide a proof theory. In this paper, I provide a natural deduction system for modal logic featuring this operator, and argue that the system can be motivated in terms of a reading of the backtracking operator whereby it serves to indicate modal scope. I (...)
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  20. Thomas Piecha, Wagner de Campos Sanz & Peter Schroeder-Heister (forthcoming). Failure of Completeness in Proof-Theoretic Semantics. Journal of Philosophical Logic:1-15.
    Several proof-theoretic notions of validity have been proposed in the literature, for which completeness of intuitionistic logic has been conjectured. We define validity for intuitionistic propositional logic in a way which is common to many of these notions, emphasizing that an appropriate notion of validity must be closed under substitution. In this definition we consider atomic systems whose rules are not only production rules, but may include rules that allow one to discharge assumptions. Our central result shows that Harrop’s rule (...)
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  21. Alexander R. Pruss (forthcoming). Popper Functions, Uniform Distributions and Infinite Sequences of Heads. Journal of Philosophical Logic:1-13.
    Popper functions allow one to take conditional probabilities as primitive instead of deriving them from unconditional probabilities via the ratio formula P(A|B)=P(A∩B)/P(B). A major advantage of this approach is it allows one to condition on events of zero probability. I will show that under plausible symmetry conditions, Popper functions often fail to do what they were supposed to do. For instance, suppose we want to define the Popper function for an isometrically invariant case in two dimensions and hence require the (...)
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  22. D. Samet (forthcoming). On the Triviality of High-Order Beliefs. Journal of Philosophical Logic.
     
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  23. Thomas Schindler (forthcoming). A Disquotational Theory of Truth as Strong as Z 2 −. Journal of Philosophical Logic:1-16.
    T-biconditionals have often been regarded as insufficient as axioms for truth. This verdict is based on Tarski’s (1935) observation that the typed T-sentences suffer from deductive weakness. As indicated by McGee (1992), the situation might change radically if we consider type-free disquotational theories of truth. However, finding a well-motivated set of untyped T-biconditionals that is consistent and recursively enumerable has proven to be very difficult. Moreover, some authors (e.g. Glanzberg (2005)) have argued that any solution to the semantic paradoxes necessarily (...)
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  24. Julia Staffel (forthcoming). Disagreement and Epistemic Utility-Based Compromise. Journal of Philosophical Logic:1-14.
    Epistemic utility theory seeks to establish epistemic norms by combining principles from decision theory and social choice theory with ways of determining the epistemic utility of agents’ attitudes. Recently, Moss (Mind, 120(480), 1053–69, 2011) has applied this strategy to the problem of finding epistemic compromises between disagreeing agents. She shows that the norm “form compromises by maximizing average expected epistemic utility”, when applied to agents who share the same proper epistemic utility function, yields the result that agents must form compromises (...)
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  25. Johannes Stern & Martin Fischer (forthcoming). Paradoxes of Interaction? Journal of Philosophical Logic:1-22.
    Since Montague’s work it is well known that treating a single modality as a predicate may lead to paradox. In their paper “No Future”, Horsten and Leitgeb (2001) show that if the two temporal modalities are treated as predicates paradox might arise as well. In our paper we investigate whether paradoxes of multiple modalities, such as the No Future paradox, are genuinely new paradoxes or whether they “reduce” to the paradoxes of single modalities. In order to address this question we (...)
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  26. Eric Swanson (forthcoming). The Application of Constraint Semantics to the Language of Subjective Uncertainty. Journal of Philosophical Logic.
     
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  27. Morgan Thomas (forthcoming). A Generalization of the Routley-Meyer Semantic Framework. Journal of Philosophical Logic:1-17.
    We develop an axiomatic theory of “generalized Routley-Meyer (GRM) logics.” These are first-order logics which are can be characterized by model theories in a certain generalization of Routley-Meyer semantics. We show that all GRM logics are subclassical, have recursively enumerable consequence relations, satisfy the compactness theorem, and satisfy the standard structural rules and conjunction and disjunction introduction/elimination rules. We also show that the GRM logics include classical logic, intuitionistic logic, LP/K3/FDE, and the relevant logics.
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  28. Jason Turner (forthcoming). Forthcoming.“Logic and Ontological Pluralism.”. Journal of Philosophical Logic.
     
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  29. J. van Eijck & F. J. de Vries (forthcoming). Reasoning About Update Logic', Report CS-R9312, Centre for Mathematics and Computer Science, Amsterdam. Journal of Philosophical Logic.
     
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  30. Heinrich Wansing & Graham Priest (forthcoming). External Curries. Journal of Philosophical Logic:1-19.
    Curry’s paradox is well known. The original version employed a conditional connective, and is not forthcoming if the conditional does not satisfy contraction. A newer version uses a validity predicate, instead of a conditional, and is not forthcoming if validity does not satisfy structural contraction. But there is a variation of the paradox which uses “external validity” (that is, essentially, preservation of theoremhood). And since external validity contracts, one might expect the appropriate version of the Curry paradox to be inescapable. (...)
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  31. P. D. Welch (forthcoming). The Complexity of the Dependence Operator. Journal of Philosophical Logic:1-4.
    We show that Leitgeb’s dependence operator of Leitgeb (Journal of Philosophical Logic, 34, 155–192, 2005) is a \({{\Pi }^{1}_{1}}\) -operator and that this is best possible.
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  32. Matthias Westphal, Stefan Wölfl, Bernhard Nebel & Jochen Renz (forthcoming). On Qualitative Route Descriptions. Journal of Philosophical Logic:1-25.
    The generation of route descriptions is a fundamental task of navigation systems. A particular problem in this context is to identify routes that can easily be described and processed by users. In this work, we present a framework for representing route networks with the qualitative information necessary to evaluate and optimize route descriptions with regard to ambiguities in them. We identify different agent models that differ in how agents are assumed to process route descriptions while navigating through route networks and (...)
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  33. Byeong-Uk Yi (forthcoming). The Language and Logic of Plurals. Journal of Philosophical Logic.
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  34. Dongmo Zhang & Michael Thielscher (forthcoming). Representing and Reasoning About Game Strategies. Journal of Philosophical Logic:1-34.
    As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language (GDL) and extends it by a standard modality for linear time along with two dual connectives to express preferences when combining strategies. The semantics of the language is provided by a standard state-transition model. As such, problems that require reasoning about games can be solved by (...)
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